# Uniform Magnetic Field

You want to create a uniform (constant and parallel) magnetic field in a small volume of space. The field should be 500 Gauss. You can get a current of 0.8 Amperes from a power source, and you must choose one of the following methods (only one method is correct):

a. A single long straight wire, at distance r from the wire (what value of r is needed?)

b. In between two long parallel wires spaced distance 2D apart (what value of D is needed?)

c. A flat coil of radius R and N turns (suggest suitable values for R and N)

d. A long solenoid of length l and N turns (suggest suitable values for l and N)

Explain how you would get the required field by specifying the method and the physical dimensions needed.

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#### Solution Preview

The magnetic field inside a long thin solenoid is quite uniform and parallel to the axis of the solenoid.

The magnetic field inside a long thin solenoid is given by:

B = mu*n*I

Where mu is the permeability, I is the ...

#### Solution Summary

This is a discussion on how to create a uniform magnetic field.

Paths Through a Uniform Magnetic Field, Solenoids and Net Magnetic Field

1) The figure (*see attachment) shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half circles. The table (*see attachment) gives the masses, charges and speeds of the 11 particles that take these paths through the field in the direction shown. Which path corresponds to which particle in the table?

2) The following table (*see attachment) gives the number of turns per unit length, n, and the current, I, through six ideal solenoids of different radii. You want to combine them concentrically to produce a net magnetic field of zero along the central axis. Can this be done with (a) two of them, (b) three of them, (c) four of them, (d) five of them, (e) six of them? If so, answer by listing which solenoids are to be used and indicate the direction of the currents.

3) Two long parallel wires which are separated by a distance of 18 cm carry currents of 7A and 8A. (a) Where is the net magnetic field zero? (i.e. how many cm from the midpoint between the two wires is the magnetic field=zero?) (b) what is the B-field at a point 5cm to the left of wire 1 and 5cm below both wires?

4) In the figure (*see attached), E = 100 V, R1 = 20 ohms, R3 = 30 ohms and L = 2 H. Find the values of I1 and I2 (a) immediately after closing the switch S, (b) a long time after switch S is closed, (c) immediately after switch S is opened and (d) a long time after switch S is opened.

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